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Find the 9th term from the end (towards the first term) of the A.P. 5, 9, 13, ...., 185 - Mathematics

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Find the 9th term from the end (towards the first term) of the A.P. 5, 9, 13, ...., 185

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Solution

Common difference, d, of the AP = 9 − 5 = 4

Last term, l, of the AP = 185

We know that the nth term from the end of an AP is given by l − (n − 1)d.

Thus, the 9th term from the end is

185 − (9 − 1)4

= 185 − 4 × 8

= 185 − 32

= 153

Concept: Sum of First n Terms of an AP
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